CBSE Class 10 Maths (Standard) 2025 · Paper 30/1/1 · Question 36
Case Study - 1: A school is organizing a charity run to raise funds for a local hospital. The run is planned as a series of rounds around a track, with each round being 300 metres. To make the event more challenging and engaging, the organizers planned to increase the distance of each subsequent round by 50 metres. For example, the second round will be 350 metres, the third round will be 400 metres and so on. The total number of rounds planned is 10. Based on the information given above, answer the following questions.
- (i)Write the fourth, fifth and sixth term of the Arithmetic Progression so formed.[1]
- (ii)Determine the distance of the 8th round.[1]
- (iii)(a)Find the total distance run after completing all 10 rounds.[2]
- (iii)(b)OR — If a runner completes only the first 6 rounds, what is the total distance run by the runner?[2]
Answer
(i) The fourth, fifth and sixth terms are m, m and m; (ii) The eighth round is m long; (iii)(a) The total distance run in all rounds is m; (iii)(b) The total distance run in the first rounds is m.
🔒 Step-by-step solution
Sign up free to see every step of how it is worked out.
From the board paper
More questions from Arithmetic Progressions
Class 10 Maths — every question with an expert-verified, step-by-step solution.
- Q1 In which of the following situations does the list of numbers involv…
- Q2 Write the first four terms of the AP when the first term a and t…
- Q3 For the following APs, write the first term and the common diff…
- Q4 Which of the following are APs? If they form an AP, find the commo…
- Q1 Fill in the blanks in the following table, given that a is the fir…
- Q2 Choose the correct choice in the following and justify: (i) 30th te…
- Q3 In the following APs, find the missing terms in the boxes: (i) 2,…
- Q4 Which term of the AP: 3, 8, 13, 18, …, is 78?
- Q5 Find the number of terms in each of the following APs: (i) 7, 13,…
- Q6 Check whether -150 is a term of the AP: 11, 8, 5, 2, …
- Q7 Find the 31st term of an AP whose 11th term is 38 and the 16t…
- Q8 An AP consists of 50 terms of which 3rd term is 12 and the last…
All 441 questions on Arithmetic Progressions → Browse all Maths chapters →